Adding Vectors. Example of adding two vectors neither at right angles to one another nor on an x or y axis. The Process:. First draw the vectors on an x:y axis, showing them attached head to tail. Second, determine the x and y components of V1. Third, determine the x and y components of V2.
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Example of adding two vectors neither at right angles to one another nor on an x or y axis.
V1y = V1 * Sin 60 or V1 * Cos 30 = 0.866 Km, N
V1x = V1 * Cos 60 or V1 * Sin 30 = 0.5 km, E
V2y = V2 * Sin 30 or V2 * Cos 60 = 1 Km, N
V2x = V2 * Cos 30 or V2 * Sin 60 = 1.732 Km, E
V1y + V2y = 0.866 Km + 1.000 Km = 1.866 Km, N
V1x + V2x = 0.500 Km + 1.732 Km = 2.232 Km, E
1st use c^2 = a^2 + b^2
c = (a^2 + b^2)^(1/2)
c = [(1.866 km)^2 + (2.232 km)^2]^(1/2)
So c = 2.909 km
2nd use Angle = Inv Tan (Ry / Rx) = Inv Tan (1.886 km / 2.232 km) = 39.9 degrees; The direction is N of E.
So R (the resultant) is equal to 2.909 Km, 39.9 deg N of E
or 2.909 Km, 50.1 deg from N, or E of N